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Some remarks on the individuals-score distance and its applications to statistical inference.

Antonio Miñarro, Josep M. Oller (1992)

Qüestiió

This paper is concerned with the study of some properties of the distance between statistical individuals based on representations on the dual tangent space of a parametric manifold representation of a statistical model. Explicit expressions for distances are obtained for well-known families of distributions. We have also considered applications of the distance to parameter estimation, testing statistical hypotheses and discriminant analysis.

Stability of invariant linearly sufficient statistics in the general Gauss-Markov model

Andrzej Kornacki (1997)

Applications of Mathematics

Necessary and sufficient conditions are derived for the inclusions J 0 J and J 0 * J * to be fulfilled where J 0 , J 0 * and J , J * are some classes of invariant linearly sufficient statistics (Oktaba, Kornacki, Wawrzosek (1988)) corresponding to the Gauss-Markov models G M 0 = ( y , X 0 β 0 , σ 0 2 V 0 ) and G M = ( y , X β , σ 2 V ) , respectively.

Sufficiency in bayesian models

Konrad Furmańczyki, Wojciech Niemiro (1998)

Applicationes Mathematicae

We consider some fundamental concepts of mathematical statistics in the Bayesian setting. Sufficiency, prediction sufficiency and freedom can be treated as special cases of conditional independence. We give purely probabilistic proofs of the Basu theorem and related facts.

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